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Rules of inference

TermDefinition
Modus Ponens p → q p ∴ q
Law of Syllogism p → q q → r ∴ p → r
Modus Tollens p → q ¬q ∴ ¬p
Disjunctive Syllogism p ∨ q ¬p ∴ q
Conjunctive Simplification p ∧ q ∴ p (or q)
Conjunction p q ∴ p ∧ q
Proof by Cases p ∨ q p → r q → r ∴ r
Disjunctive Amplification p ∴ p ∨ q
Conditional Proof p ∧ q p → (q → r) ∴ r
Constructive Dilemma p → q r → s p ∨ r ∴ q ∨ s
Destructive Dilemma p → q r → s ¬q ∨ ¬s ∴ ¬p ∨ ¬r
Contradiction ¬p → FALSE ∴ p
Created by: user-2040995
 

 



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